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Finding the Fourth Proportional to 242,719.20, 363,301.20 and 189,842.40

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Solution

The fourth proportional to 242,719.20, 363,301.20 and 189,842.40 is: 284,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,719.20 : 363,301.20 = 189,842.40 : x
  2. Step 2: Convert to fraction form
    242,719.20/363,301.20 = 189,842.40/x
  3. Step 3: Cross multiply
    242,719.20x = 363,301.20 × 189,842.40
  4. Step 4: Simplify right side
    242,719.20x = 68,969,971,730.88
  5. Step 5: Solve for x
    x = 68,969,971,730.88/242,719.20
  6. Step 6: Final answer
    x = 284,155.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.